Finite Group Databasebeta

← Group #270274

Character table — Group #270274

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888244444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-11
χ51111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-111-1-111-1-11111-1
χ911111111111111111-1-1-1-1111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ1011111111111111111-1-1-1-11111111-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1
χ1111111111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-11111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1111-1-11111-1-1-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111
χ1511111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-11111-1-111-1-111-1
χ17222222222-2-22-222-2-22222-200000022-2-20000-2-22200000000000-20000000000000
χ18222222222-2-22-222-2-22222-2000000-2-2-2-2000022-2-20000000000020000000000000
χ19222222222-2-22-222-2-2-2-2-2-2-20000002222000022-2-200000000000-20000000000000
χ20222222222-2-22-222-2-2-2-2-2-2-2000000-2-2220000-2-2220000000000020000000000000
χ2122222222-222-22-2-22-20000-22222220000-2-2-2-20000-2-200000000200000000000000
χ2222222222-222-22-2-22-20000-22222-2-2000022220000-2-200000000-200000000000000
χ2322222222-222-22-2-22-20000-2-2-2-2-2220000-2-22200002200000000-200000000000000
χ2422222222-222-22-2-22-20000-2-2-2-2-2-2-2000022-2-200002200000000200000000000000
χ2522-22-22-2-2-200-2022002i2i−2i−2i022−2−2002i−2i000000002-22−2i2i2−i2−i222−2−2000000000000i2−i20
χ2622-22-22-2-2-200-2022002i2i−2i−2i022−2−200−2i2i00000000-222−2i2i2−i2−i2−2−222000000000000−i2i20
χ2722-22-22-2-2-200-2022002i2i−2i−2i0−2−222002i−2i000000002-2−22−i2−i2i2i2−2−222000000000000−i2i20
χ2822-22-22-2-2-200-2022002i2i−2i−2i0−2−22200−2i2i00000000-22−22−i2−i2i2i222−2−2000000000000i2−i20
χ2922-22-22-2-2-200-202200−2i−2i2i2i022−2−2002i−2i00000000-222−2−i2−i2i2i2−2−222000000000000i2−i20
χ3022-22-22-2-2-200-202200−2i−2i2i2i022−2−200−2i2i000000002-22−2−i2−i2i2i222−2−2000000000000−i2i20
χ3122-22-22-2-2-200-202200−2i−2i2i2i0−2−222002i−2i00000000-22−22i2i2−i2−i222−2−2000000000000−i2i20
χ3222-22-22-2-2-200-202200−2i−2i2i2i0−2−22200−2i2i000000002-2−22i2i2−i2−i2−2−222000000000000i2−i20
χ332-2-2-2-2222222-2-22-2-222-22-2-2000000002-2000000000000000000002i−2i0000002i−2i000
χ342-2-2-2-2222222-2-22-2-222-22-2-2000000002-200000000000000000000−2i2i000000−2i2i000
χ352-2-2-2-2222222-2-22-2-22-22-22-200000000-22000000000000000000002i−2i000000−2i2i000
χ362-2-2-2-2222222-2-22-2-22-22-22-200000000-2200000000000000000000−2i2i0000002i−2i000
χ372-2-2-2-22222-2-2-222-22-22-22-2200002-200-222-2000000000000000000002-2000000000
χ382-2-2-2-22222-2-2-222-22-22-22-220000-2200-22-2200000000000000000000-22000000000
χ392-2-2-2-22222-2-2-222-22-2-22-22200002-2002-22-200000000000000000000-22000000000
χ402-2-2-2-22222-2-2-222-22-2-22-2220000-22002-2-22000000000000000000002-2000000000
χ412-2-2-2-2222-2-2-222-22220000-200002-20000-22000000002-22-200000000002-20000000
χ422-2-2-2-2222-2-2-222-22220000-200002-20000-2200000000-22-220000000000-220000000
χ432-2-2-2-2222-2-2-222-22220000-20000-2200002-2000000002-22-20000000000-220000000
χ442-2-2-2-2222-2-2-222-22220000-20000-2200002-200000000-22-2200000000002-20000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-4-4404-40400-40000004-44-4000000000000000000000000000000000000000
χ47444-4-4-4-4404-40400-4000000-44-44000000000000000000000000000000000000000
χ48444-4-4-4-440-440-40040000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ49444-4-4-4-440-440-4004000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ5044-44-44-4-440040-4-400000002222−22−2200000000000000−222200000000000000000000000
χ5144-44-44-4-440040-4-40000000−22−2222220000000000000022−2200000000000000000000000
χ5244-4-44-44-40000000000000022−22−222200000000002i2−2i2000000002i−2i−2i2i000000000000000
χ5344-4-44-44-40000000000000022−22−22220000000000−2i22i200000000−2i2i2i−2i000000000000000
χ5444-4-44-44-400000000000000−222222−2200000000002i2−2i200000000−2i2i2i−2i000000000000000
χ5544-4-44-44-400000000000000−222222−220000000000−2i22i2000000002i−2i−2i2i000000000000000
χ564-44-444-4-4400-40-440000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ574-44-444-4-4400-40-44000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ584-44-444-4-4-400404-4004i−4i−4i4i00000000000000000000000000000000000000000000
χ594-44-444-4-4-400404-400−4i4i4i−4i00000000000000000000000000000000000000000000
χ604-4-444-4-4404-40-400400000000000000000000000000000000000000000022−2200000
χ614-4-444-4-4404-40-4004000000000000000000000000000000000000000000−222200000
χ624-4-444-4-440-440400-40000000000000000004i−4i00000000000000000000000000000
χ634-4-444-4-440-440400-4000000000000000000−4i4i00000000000000000000000000000
χ644-4-4-4-4444-4444-4-44-4-4000040000000000000000000000000000000000000000000
χ658-888-8-88-8000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).